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Finding the Fourth Proportional to 2,383.68, 3,280.25 and 2,199

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Solution

The fourth proportional to 2,383.68, 3,280.25 and 2,199 is: 3,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.68 : 3,280.25 = 2,199 : x
  2. Step 2: Convert to fraction form
    2,383.68/3,280.25 = 2,199/x
  3. Step 3: Cross multiply
    2,383.68x = 3,280.25 × 2,199
  4. Step 4: Simplify right side
    2,383.68x = 7,213,258.76
  5. Step 5: Solve for x
    x = 7,213,258.76/2,383.68
  6. Step 6: Final answer
    x = 3,026.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.